52 citations · 127 across the 37 of their papers we have counts for
3 papers · 1 filter
An Energy Bound in the Affine Group
Giorgis Petridis, Oliver Roche-Newton, Misha Rudnev +1
We prove a nontrivial energy bound for a finite set of affine transformations over a general field and discuss a number of implications. These include new bounds on growth in the a…
New Expander Bounds from Affine Group Energy
Oliver Roche-Newton, Audie Warren
The purpose of this article is to further explore how the structure of the affine group can be used to deduce new incidence theorems, and to explore sum-product type applications o…
Four-term progression free sets with three-term progressions in all large subsets
Cosmin Pohoata, Oliver Roche-Newton
This paper is mainly concerned with sets which do not contain four-term arithmetic progressions, but are still very rich in three term arithmetic progressions, in the sense that al…